Answer:
301.74 feet
Step-by-step explanation:
Given:
A girl stands on a carousel and rotated around the ride 6 times.
The distance between the girl and the center of the carousel is 8.
It means radius, r = 8 feet
Question asked:
How many feet did the little girl travel ?
Solution:
As here asked that how many feet the little girl traveled during rotation around the ride 6 times, we will find circumference of the circle.


Now, we will multiply this by 6 as she rotated around the ride 6 times.

Thus, the little girl traveled 301.74 feet during this ride.
120 people who all need 1 drink, so if each drink needs .5 cups of concentrate you will do 120d × 0.5 = 60 total cups of concentrate. if you then set up a fraction, you could cross multiply to get the answer, but I cant do fractions here so I'll say this: if every 5 cups of concentrate gives 19 cups of water, then you divide 60 cups by 5 cups to see how many "batches" of this recipie you will need, you get 12 batches, so 12 x 19 (cups of water per batch) to get 218 ( I think, check my math with a calculator
We can write it like this:

if x isn't 0, we can divide both sides by x:

and again

and now we can calcuate

and divide both sides by 4.
We're left with 9!!
so the solution is 9!